Isomorphic sheaf representations of normal lattices

DOI10.1016/0022-4049(87)90071-5zbMath0646.06009OpenAlexW2053802811MaRDI QIDQ1103659

George Georgescu, Ioana Voiculescu

Publication date: 1987

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(87)90071-5

zbMATH Keywords

distributive latticenormal latticessheaf representatonsubframe of ideals

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items (14)

Annihilator characterizations of Boolean rings and Boolean lattices ⋮ Boolean lifting property in quantales ⋮ The stable topology for residuated lattices ⋮ PURE IDEALS AND STABLE TOPOLOGY IN BL-ALGEBRAS ⋮ Rings and sheaves ⋮ Reticulation of a quantale, pure elements and new transfer properties ⋮ Relative annihilators in bounded commutative residuated lattices ⋮ Functional representations of semirings. ⋮ Topological characterization of certain classes of lattices ⋮ Further results on reticulated rings ⋮ Prime, minimal prime and maximal ideals spaces in residuated lattices ⋮ Flat topology on the spectra of quantales ⋮ Some abstract maximal ideal-like spaces ⋮ Sheaf representations of BL-algebras

Cites Work

• Recovering a frame from its sheaves of algebras
• Reticulated rings
• The multiplier extension of a distributive lattice
• A Sheaf Representation for Modules with Applications to Gelfand Rings
• Sheaf representations of strongly harmonic rings
• Normal lattices
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